Elementary construction of residue currents associated to Cohen-Macaulay ideals
Preprint, 2016

For a Cohen-Macaulay ideal of holomorphic functions, we construct by elementary means residue currents whose annihilator is precisely the given ideal. We give two proofs that the currents have the prescribed annihilator, one using the theory of linkage, and another using an explicit division formula involving these residue currents to express the ideal membership.

Author

Richard Lärkäng

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Emmanuel Mazzilli

Subject Categories

Mathematics

Geometry

Mathematical Analysis

More information

Created

10/7/2017